The generator matrix 1 0 0 1 1 1 1 1 0 1 1 1 1 2X 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 2 1 2 1 0 2X+2 2X+1 1 1 2X+1 2 2 1 2X 1 2X+2 0 2X+2 X 0 0 0 1 2 1 2 1 0 2 2 2X+1 2X 1 2X+1 2X+2 X 2 2 X X+2 2X+1 1 0 X+2 0 0 0 0 2X 0 0 0 0 0 X 2X X 2X 2X 2X X 2X X 2X 2X 2X 0 0 0 X 0 0 0 0 2X 0 X X X 2X 2X 2X 2X 0 2X 0 0 2X 0 2X X 0 0 0 2X 0 0 0 0 0 X X 0 2X X X X 0 2X X X 2X 2X X 2X 0 2X 2X 0 2X generates a code of length 25 over Z3[X]/(X^2) who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+106x^39+96x^40+150x^41+690x^42+312x^43+324x^44+1368x^45+672x^46+1008x^47+2596x^48+1290x^49+1284x^50+3044x^51+1146x^52+1134x^53+2246x^54+678x^55+450x^56+748x^57+180x^58+24x^59+98x^60+30x^63+6x^66+2x^69 The gray image is a linear code over GF(3) with n=75, k=9 and d=39. This code was found by Heurico 1.16 in 1.57 seconds.